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Popular >

simplify x^{-1/2}*ln(x)

Solution

simplify

x^{- \frac{1}{2}} \cdot ln (x)

Solution

\frac{ln ( x )}{x ^{\frac{1}{2}}}

Solution steps

x^{- \frac{1}{2}} ln (x)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{\frac{1}{2}}} ln (x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ln ( x )}{x ^{\frac{1}{2}}}

Multiply:

1 \cdot ln (x) = ln (x)

= \frac{ln ( x )}{x ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is x^{-1/2}*ln(x) ?
The solution to x^{-1/2}*ln(x) is (ln(x))/(x^{1/2)}